;     Date: Tue, 18 May 2004 09:27:56 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 18-05-04 (Random Shapes [*])
;       Id: <1.5.4.16.20040518093139.29cfb9ec@pop.mindspring.com>
; ---------
; 
; FOTD -- May 18, 2004 (Rating *)
; 
; Fractal visionaries and enthusiasts:
; 
; The time has come for the next FOTD to appear, but I am still 
; behind in my work.  I do not wish to disappoint, so I have gone 
; to Fractal Land and taken the first thing I found, which in this 
; case, not surprisingly, turns out to be a midget.  The fact that 
; it is not quite a quadratic midget is a bit more surprising.
; 
; The generating expression is Z^(2.03)+C, which means that, when 
; the MandelbrotBC2 formula is used, the resulting image can be of 
; many different shapes.  In this case however, since the exponent 
; is so close to 2, most fractals will be a rotated version of the 
; traditional Mandelbrot set, with a bit of distortion thrown in 
; to make things interesting.
; 
; In today's case, the parent M-set is rotated only slightly 
; clockwise.  The main bud has come apart, with near total chaos 
; in the area between the two competing remnants.  Today's image 
; lies in this chaos..
; 
; I gave the image a wild-card rating.  I put too little effort 
; into it to consider a firm rating.  In fact, I am not even 
; certain it is worthy of being a FOTD.  I named the image "Random 
; Shapes" which is basically a full description.  The render time 
; of under 3 minutes makes it almost worth the effort of running 
; the included parameter file.
; 
; I still have quite a bit of work to do, plus drifts of cicada 
; shells to sweep away, so if I miss a FOTD or two in the coming 
; week or so, don't be concerned.  I merely will be still trying 
; to catch up in the work.
; 
; The image, for what it is worth, is available on Paul's FOTD web 
; site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; The weather has been pleasant here at Fractal Central since the 
; last FOTD, with the exception of Monday afternoon, when an 
; intense thunder-storm moved in, with 2 inches (5cm) of rain, 
; 1 inch (2.5cm ) diameter hail, terrifying (at least for some) 
; lightning and thunder, and winds of 65mph (100kph).  Needless to 
; say, the cats dashed into hiding, and were not seen for several 
; hours.  Today is looking to be a repeat.  We'll see how it goes.
; 
; I'm still a bit behind in my work, so the thing for me to do is 
; start working.  Until next FOTD, take care, and do dare.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Random_Shapes { ; time=0:02:51.59--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-1.19187521524887300/+0.035312902072153\
  03/422.451/1/-127.5/-1.03011349450454759e-012
  params=2.03/0/0/0 float=y maxiter=1200
  inside=0 logmap=26 periodicity=10
  colors=000diNfkLglKinIkpGlqFnsDotChmBbgAXa9RW9LQ8F\
  K79E74FA7GCAHFDIHHJKKKMNLPQLRUMTXNW_OYbP`fQbiRelSg\
  oSilTgjUehVcfWadX_bYY`ZWZ_UX`SVaQTbORcMPdKNdIPeHRe\
  GTfGVfFXfFZgE`gEbhDdhDfhChiCjiBljBnjApjAT4WS3YR3_Q\
  2`P2bP1cO1eN0fM0hM0iC2d23`ABcIJfQQiYYleeollqUmhBn_\
  Aka9ic9gd8df8bg7`i7Yj6Wl6Um5Ro5Pp4Nr4LsBOmHQhNScTU\
  Z_WUeYPk_KqaFoZGnWHmUHlRIkOJjMJiJKhHKlOGpVCs`8tWFu\
  SMvOTwK_xGfyCmxDjwEhwFfvGduHbuI`tIYtJWsKUrLSrMQqNO\
  qNMaROMVQ6ZS9UWCPZFKaIFdLAgO5jQ0mgIpx_sF1vG7wHCxII\
  yINwSPw`RwiSwiPwiNwiLwiIwiGwiEwiBwi9wi7wi5wCDwDEwD\
  EwEFwEFwFFwFGwGGwGGwHHwHHwIHwIIwJIwJIzXNzjRzkPzkNz\
  kMzlKzlJzlHzlGzmFznEznDzoCzoBzpAzp9zq8zq7zr6zr5zsC\
  zsIztPztVzuazuczvczvcztczrczpcznczlczjczhczg`zeZzc\
  WzaUz_SzYPzWNzVKzTIzRGzPDzNBzL8zJ6zI4zG6zF8zEAzCCz\
  BEzAGz8Iz7Kz6Mz4Oz3Qz2SzKQz`PzqOzoPznPzmPzlPzkPzjP\
  ziPzgQzfQzeQzdQzcQzEfzFgz }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

; END PARAMETER FILE==================================
; 
; 
;